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Finding the Third Proportional to 372,924 and 804,816

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Solution

The third proportional to 372,924 and 804,816 is: 1,736,892.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,924 : 804,816 = 804,816 : x
  2. Step 2: Convert to fraction form
    372,924/804,816 = 804,816/x
  3. Step 3: Cross multiply
    372,924x = 804,816 × 804,816
  4. Step 4: Simplify right side
    372,924x = 647,728,793,856
  5. Step 5: Solve for x
    x = 647,728,793,856/372,924
  6. Step 6: Final answer
    x = 1,736,892.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.